Immigration like other policies should be based on national interest. So the question that should be asked is “Why is it in our national interest to import any Muslim?” Is there a compelling reason that we cannot do without any?
In some cases there might be a compelling reason, and then each case should be thoroughly vetted. And this policy should apply to all immigrants. We want to know who’s coming in and whether it benefits us.
The Aussies use a point system. You need to be an asset to their country. We do the opposite. We invite criminals to bleed us dry economically and murder us.